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13123420420 = 2251134211171
BaseRepresentation
bin11000011100011011…
…11000000100000100
31020212121000211110011
430032031320010010
5203334043423140
610010120240004
7643132142635
oct141615700404
936777024404
1013123420420
115624913000
122663010004
131311b25736
148c6cd588c
1551c1d0cea
hex30e378104

13123420420 has 96 divisors (see below), whose sum is σ = 30410980992. Its totient is φ = 4756752000.

The previous prime is 13123420411. The next prime is 13123420439. The reversal of 13123420420 is 2402432131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13123420391 and 13123420400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11206435 + ... + 11207605.

It is an arithmetic number, because the mean of its divisors is an integer number (316781052).

Almost surely, 213123420420 is an apocalyptic number.

13123420420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205490496).

13123420420 is an abundant number, since it is smaller than the sum of its proper divisors (17287560572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13123420420 is a wasteful number, since it uses less digits than its factorization.

13123420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13123420420 its reverse (2402432131), we get a palindrome (15525852551).

The spelling of 13123420420 in words is "thirteen billion, one hundred twenty-three million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 421 484 605 842 1171 1210 1331 1684 2105 2342 2420 2662 4210 4631 4684 5324 5855 6655 8420 9262 11710 12881 13310 18524 23155 23420 25762 26620 46310 50941 51524 64405 92620 101882 128810 141691 203764 254705 257620 283382 492991 509410 560351 566764 708455 985982 1018820 1120702 1416910 1558601 1971964 2241404 2464955 2801755 2833820 3117202 4929910 5422901 5603510 6234404 7793005 9859820 10845802 11207020 15586010 21691604 27114505 31172020 54229010 59651911 108458020 119303822 238607644 298259555 596519110 656171021 1193038220 1312342042 2624684084 3280855105 6561710210 13123420420